3. Oil Changes. Suppose that the mean time for an oil change at a "10-minute oil change joint" is 11.4 minutes with a standard deviation of 3.2 minutes. (Illustrate each with a graph!) a. Describe the sampling distribution of the of the mean time for an oil change. random variable: X= distribution: X- b. If a random car goes in for an oil change, what is the probability the mean oil change time is less than 11 minutes?

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**Oil Changes**

Suppose that the mean time for an oil change at a "10-minute oil change joint" is 11.4 minutes with a standard deviation of 3.2 minutes. *(Illustrate each with a graph!)*

a. **Describe the sampling distribution of the mean time for an oil change.**

   - Random variable: X = ________

   - Distribution: \( X \sim \left( \mu = \, \text{_______} \, , \, \sigma = \, \text{_______} \right) \)

b. **If a random car goes in for an oil change, what is the probability the mean oil change time is less than 11 minutes?**

c. **If a random sample of \( n = 35 \) oil changes is selected, describe the sampling distribution of the mean time for these oil changes.**

   - \( \bar{X} = \)

   - \( \bar{X} \sim \left( \mu = \, \text{_______} \, , \, \sigma = \, \text{_______} \right) \)
Transcribed Image Text:**Oil Changes** Suppose that the mean time for an oil change at a "10-minute oil change joint" is 11.4 minutes with a standard deviation of 3.2 minutes. *(Illustrate each with a graph!)* a. **Describe the sampling distribution of the mean time for an oil change.** - Random variable: X = ________ - Distribution: \( X \sim \left( \mu = \, \text{_______} \, , \, \sigma = \, \text{_______} \right) \) b. **If a random car goes in for an oil change, what is the probability the mean oil change time is less than 11 minutes?** c. **If a random sample of \( n = 35 \) oil changes is selected, describe the sampling distribution of the mean time for these oil changes.** - \( \bar{X} = \) - \( \bar{X} \sim \left( \mu = \, \text{_______} \, , \, \sigma = \, \text{_______} \right) \)
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